6066
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13182
- Proper Divisor Sum (Aliquot Sum)
- 7116
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2016
- Möbius Function
- 0
- Radical
- 2022
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 23
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of bipartite partitions of n white objects and 4 black ones.at n=13A000465
- Add 1, multiply by 1, add 2, multiply by 2, etc., start with 3.at n=12A019462
- Fibonacci sequence beginning 5, 13.at n=14A022138
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ n/k ] ].at n=39A024932
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(3,5) < cn(2,5) = cn(4,5).at n=71A036867
- Numbers having three 6's in base 10.at n=6A043515
- Numbers n such that 123*2^n-1 is prime.at n=26A050587
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=25A053020
- Numbers k such that k^256 + 1 is prime.at n=19A056995
- Numbers which are the sum of their proper divisors containing the digit 0.at n=25A059461
- Multiples of 9 having only even digits.at n=45A061831
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=27A063350
- Excess of n + product of digits over next prime associated with A091628.at n=10A091632
- Number of consecutive prime runs of 2 primes congruent to 1 mod 4 below 10^n.at n=5A092639
- Row sums of the triangle A097883.at n=22A098404
- Largest terms a(n) forming a self-convolution cube of an integer sequence (A132836) such that: a(n) <= 3*a(n-1) for n>0 with a(0)=1.at n=8A132835
- Expansion of phi(-q^3) / f(-q)^2 in powers of q where phi(), f() are Ramanujan theta functions.at n=19A137685
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 0, 0), (1, 0, 1), (1, 1, 0)}.at n=7A150375
- Least of 4 consecutive integers such that their product +-5 are primes.at n=34A174244
- Numbers n such that n^6 + 1091 is semiprime.at n=42A181113